ASSOCIATION UNIT OF RESISTANCE IN ABSOLUTE MEASURE. 
683 
too small by the fraction fX. Observations made in tbe usual manner after the other 
readings were concluded gave with considerable accuracy 
X= ‘0142 
Tbe time of vibration was taken simultaneously. It appeared that 
T=ll"693 seconds 
A sufficient approximation to the ratio of currents x : x can be obtained by neglecting 
in both cases the current through the galvanometer, whose resistance (80 units) was 
considerable in comparison with the other resistances. On account of the small 
resistance of the battery, the difference of potentials at the battery electrodes may be 
regarded as given. On these suppositions we get at once 
x ' _10 + 23'25869 
« — 10 + 23-34322 
whence 
log *=1-99891 
x 
A more elaborate calculation, in which the finite conductivity of the galvanometer 
was taken into account, gave a practically identical result 
log -=1*99886 
& x 
We may now enter the numbers in the formula 
L=SQ !vt('99925)(l + X) 
in which we must remember that SQ is to be expressed in absolute measure. Now 
the value given before, viz.: SQ= -08453, is expressed in B.A. units. What this 
would be in absolute units involves the entire question to whose solution this paper 
is directed. We will suppose that 
1 B.A. unit =*987 ohm 
SQ ... . 
Correction to absolute units 
A:B . ....... 
Correction for finite arcs 
Correction for damping , 
Time of vibration.... 
Batio of currents.... 
log -08453 Xl0 9 = 7-92701 
log -987 =1*99432 
log 1-5310 = -18498 
log -99.925 =1*99967 
log 1-0142 = -00612 
log 11-693 =1*06793 
lo gix'/x) =1*99886 
9*17889 
log 2 tt = -79818 
log L =8-38071 
